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Finding the Fourth Proportional to 1,025.22, 1,414.70 and 583.14

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Solution

The fourth proportional to 1,025.22, 1,414.70 and 583.14 is: 804.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,025.22 : 1,414.70 = 583.14 : x
  2. Step 2: Convert to fraction form
    1,025.22/1,414.70 = 583.14/x
  3. Step 3: Cross multiply
    1,025.22x = 1,414.70 × 583.14
  4. Step 4: Simplify right side
    1,025.22x = 824,968.16
  5. Step 5: Solve for x
    x = 824,968.16/1,025.22
  6. Step 6: Final answer
    x = 804.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.